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379000908 = 2232111383887
BaseRepresentation
bin10110100101110…
…001100001001100
3222102011020111200
4112211301201030
51234011012113
6101335145500
712251311626
oct2645614114
9872136450
10379000908
11184a32aa0
12a6b15290
136069b4c0
1438499c16
1523416873
hex1697184c

379000908 has 144 divisors (see below), whose sum is σ = 1140362496. Its totient is φ = 104618880.

The previous prime is 379000901. The next prime is 379000927. The reversal of 379000908 is 809000973.

379000908 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

379000908 is strictly pandigital in base 9.

It is not an unprimeable number, because it can be changed into a prime (379000901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 426841 + ... + 427727.

It is an arithmetic number, because the mean of its divisors is an integer number (7919184).

Almost surely, 2379000908 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379000908, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570181248).

379000908 is an abundant number, since it is smaller than the sum of its proper divisors (761361588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

379000908 is a wasteful number, since it uses less digits than its factorization.

379000908 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 379000908 is about 19467.9456543314. The cubic root of 379000908 is about 723.6802995152.

The spelling of 379000908 in words is "three hundred seventy-nine million, nine hundred eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 13 18 22 26 33 36 39 44 52 66 78 83 99 117 132 143 156 166 198 234 249 286 332 396 429 468 498 572 747 858 887 913 996 1079 1287 1494 1716 1774 1826 2158 2574 2661 2739 2988 3237 3548 3652 4316 5148 5322 5478 6474 7983 8217 9711 9757 10644 10956 11531 11869 12948 15966 16434 19422 19514 23062 23738 29271 31932 32868 34593 35607 38844 39028 46124 47476 58542 69186 71214 73621 87813 103779 106821 117084 126841 138372 142428 147242 175626 207558 213642 220863 253682 294484 351252 380523 415116 427284 441726 507364 662589 761046 809831 883452 957073 1141569 1325178 1522092 1619662 1914146 2283138 2429493 2650356 2871219 3239324 3828292 4566276 4858986 5742438 7288479 8613657 9717972 10527803 11484876 14576958 17227314 21055606 29153916 31583409 34454628 42111212 63166818 94750227 126333636 189500454 379000908